803411088480 has 768 divisors, whose sum is σ = 3775490611200. Its totient is φ = 154099998720.

The previous prime is 803411088457. The next prime is 803411088521. The reversal of 803411088480 is 84880114308.

803411088480 is a `hidden beast` number, since 80 + 3 + 4 + 1 + 10 + 88 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4231426 + ... + 4417214.

It is an arithmetic number, because the mean of its divisors is an integer number (4916003400).

Almost surely, 2^803411088480 is an apocalyptic number.

803411088480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 803411088480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887745305600).

803411088480 is an abundant number, since it is smaller than the sum of its proper divisors (2972079522720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

803411088480 is a wasteful number, since it uses less digits than its factorization.

803411088480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185844 (or 185830 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 803411088480 in words is "eight hundred three billion, four hundred eleven million, eighty-eight thousand, four hundred eighty".